Square Integrable Representations, von Neumann Algebras and An Application to Gabor Analysis

By Bachir Bekka. 2004

74 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9ad8788dbdf56bbe4a0cc6c512b71dc2e0392c69

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Ziemowit Rzeszotnik
2. Karlheinz Gröchenig
3. Qiyu Sun
4. Christopher Heil
5. Qi-yu Sun
6. Chang Eon Shin
7. Hans G. Feichtinger
8. Massimo Fornasier

In Mathematical Physics

1. Ziemowit Rzeszotnik
2. Karlheinz Gröchenig
3. J. Toft

Citations in the corpus

• The Mystery of Gabor Frames (2014, unknown): “Let us also mention a different type of existence result: Bekka [6] showed that for a given lattice ⊆ R2d with vol ( ) ≤ 1 there always exists a window g ∈ L2(Rd), such that G(g, ) is a frame.”
• Banach algebras of pseudodifferential operators and their almost diagonalization (2007, background): “with g ∈ L(2)(R) exist for every lattice Λ = AZ with |detA| < 1 [5].”